In general, I would agree with you Denise. However, with regards to simple earthly events — too often they seem mundane and casual at first, and their significance becomes apparent only as time goes by. And by coincidence I mean:
In science, the term is generally used in a more literal translation, e.g., referring to when two rays of light strike a surface at the same point at the same time. In this usage of coincidence, there is no implication that the alignment of events is surprising, noteworthy or non-causal.
Having studied physics, I strongly believe in cause and effect. This quote is a nice way of saying that “nothing is meant to be”.